5(3a-1)-2(3a+2)=3(a+2)+y

Solution for 5(3a-1)-2(3a+2)=3(a+2)+y equation:

Simplifying
5(3a + -1) + -2(3a + 2) = 3(a + 2) + y

Reorder the terms:
5(-1 + 3a) + -2(3a + 2) = 3(a + 2) + y
(-1 * 5 + 3a * 5) + -2(3a + 2) = 3(a + 2) + y
(-5 + 15a) + -2(3a + 2) = 3(a + 2) + y

Reorder the terms:
-5 + 15a + -2(2 + 3a) = 3(a + 2) + y
-5 + 15a + (2 * -2 + 3a * -2) = 3(a + 2) + y
-5 + 15a + (-4 + -6a) = 3(a + 2) + y

Reorder the terms:
-5 + -4 + 15a + -6a = 3(a + 2) + y

Combine like terms: -5 + -4 = -9
-9 + 15a + -6a = 3(a + 2) + y

Combine like terms: 15a + -6a = 9a
-9 + 9a = 3(a + 2) + y

Reorder the terms:
-9 + 9a = 3(2 + a) + y
-9 + 9a = (2 * 3 + a * 3) + y
-9 + 9a = (6 + 3a) + y

Solving
-9 + 9a = 6 + 3a + y

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-3a' to each side of the equation.
-9 + 9a + -3a = 6 + 3a + -3a + y

Combine like terms: 9a + -3a = 6a
-9 + 6a = 6 + 3a + -3a + y

Combine like terms: 3a + -3a = 0
-9 + 6a = 6 + 0 + y
-9 + 6a = 6 + y

Add '9' to each side of the equation.
-9 + 9 + 6a = 6 + 9 + y

Combine like terms: -9 + 9 = 0
0 + 6a = 6 + 9 + y
6a = 6 + 9 + y

Combine like terms: 6 + 9 = 15
6a = 15 + y

Divide each side by '6'.
a = 2.5 + 0.1666666667y

Simplifying
a = 2.5 + 0.1666666667y